Question

The ________ can be a misleading measure of central tendency if the distribution of scores is ________ . A.mean; B.skewed median; C.skewed mean; D. normal median; E.normal

Answer 1

C) Mean, Skewed.

Explanation:

The mean is easily influenced by outliers in a distribution. So if a Distribution of scores is skewed, then it will mislead the readers. In a skew distribution, either positive or negative, the Median will turn to be the central value. Usually, the mean is used besides other statistical parameters.

In a Normal distribution, the mean is right in the middle, symmetrically dividing the "bell shape" curve. The Mean, in this case, coincides with the mode, and the Median.

On the other hand, the Median is way more trustable central tendency measure, more resistant to outliers. So in a Skewed distribution, a Median is preferred over the Mean and use alongside the Mode.